Inclusion properties of certain subclasses of analytic functions defined by generalized Salagean operator
M. K. Aouf ; A. Shamandy ; A. O. Mostafa ; S. M. Madian
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010), / Harvested from The Polish Digital Mathematics Library
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Let A denote the class of analytic functions with the normalization f(0)=f'(0)-1=0 in the open unit disc U={z:z<1}.  Set fλn(z)=z+∑k=2∞[1+λ(k-1)]nzk(n∈N0;λ≥0;z∈U), and define fλ,μn in terms of the Hadamard product fλn(z)*fλ,μn=z(1-z)μ(μ>0;z∈U). In this paper, we introduce several subclasses of analytic functions defined by means of the operator Iλ,μn:A⟶A, given by Iλ,μnf(z)=fλ,μn(z)*f(z)(f∈A;n∈N0;λ≥0;μ>0). Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:289833 
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     title = {Inclusion properties of certain subclasses of analytic functions defined by generalized Salagean operator},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {54},
     year = {2010},
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M. K. Aouf; A. Shamandy; A. O. Mostafa; S. M. Madian. Inclusion properties of certain subclasses of analytic functions defined by generalized Salagean operator. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_1_17-26/

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